Question

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using type, a page 2,400 words. The article is 21 full pages in a . How many pages must be in smaller type

Answer 1

Let's denote the number of pages printed in the larger type as
x
x and the number of pages printed in the smaller type as
y
y.

The total number of words is the sum of the words from both types, and it should equal 48,000 words:

1
,
800
x
+
2
,
400
y
=
48
,
000
1,800x+2,400y=48,000

The article is 21 full pages, so
x
+
y
=
21
x+y=21.

Now, you have a system of two equations:

{
1
,
800
x
+
2
,
400
y
=
48
,
000
x
+
y
=
21

{
1,800x+2,400y=48,000
x+y=21
​


You can solve this system of equations to find the values of
x
x and
y
y. Once you have those values,
y
y represents the number of pages in the smaller type.